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Finding the Fourth Proportional to 2,610.54, 3,912.14 and 1,441.09

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Solution

The fourth proportional to 2,610.54, 3,912.14 and 1,441.09 is: 2,159.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.54 : 3,912.14 = 1,441.09 : x
  2. Step 2: Convert to fraction form
    2,610.54/3,912.14 = 1,441.09/x
  3. Step 3: Cross multiply
    2,610.54x = 3,912.14 × 1,441.09
  4. Step 4: Simplify right side
    2,610.54x = 5,637,745.83
  5. Step 5: Solve for x
    x = 5,637,745.83/2,610.54
  6. Step 6: Final answer
    x = 2,159.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.